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Finding the Fourth Proportional to 2,736.28, 3,774.88 and 1,790.42

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Solution

The fourth proportional to 2,736.28, 3,774.88 and 1,790.42 is: 2,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.28 : 3,774.88 = 1,790.42 : x
  2. Step 2: Convert to fraction form
    2,736.28/3,774.88 = 1,790.42/x
  3. Step 3: Cross multiply
    2,736.28x = 3,774.88 × 1,790.42
  4. Step 4: Simplify right side
    2,736.28x = 6,758,620.65
  5. Step 5: Solve for x
    x = 6,758,620.65/2,736.28
  6. Step 6: Final answer
    x = 2,470.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.